Harry Kane’s ninth Premier League goal of the season gave visitors the lead midway through the first half (22), with Vicente Guaita beaten from 25 yards out by the striker’s swirling effort.
But Spurs seemed content to sit on their slender lead, and Palace deservedly equalised through Schlupp after Hugo Lloris had spilled Ebere Eze’s free-kick (81).
Guaita made a superb one-handed save to deny Eric Dier’s free-kick in stoppage time as Palace moved above Newcastle and Wolves into 11th place leaving the door open for Liverpool to overtake Jose Mourinho’s side at the summit when they face Fulham later on Sunday.